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Finding the Fourth Proportional to 1,072.32, 1,485.84 and 1,049.28

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Solution

The fourth proportional to 1,072.32, 1,485.84 and 1,049.28 is: 1,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.32 : 1,485.84 = 1,049.28 : x
  2. Step 2: Convert to fraction form
    1,072.32/1,485.84 = 1,049.28/x
  3. Step 3: Cross multiply
    1,072.32x = 1,485.84 × 1,049.28
  4. Step 4: Simplify right side
    1,072.32x = 1,559,062.20
  5. Step 5: Solve for x
    x = 1,559,062.20/1,072.32
  6. Step 6: Final answer
    x = 1,453.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.